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Homeomorphism groups of 2-manifolds with the virtual Rokhlin property

Published 25 Aug 2023 in math.GT, math.DS, and math.GR | (2308.13138v3)

Abstract: We introduce and motivate the definition of the virtual Rokhlin property for topological groups. We then classify the 2-manifolds whose homeomorphism groups have the virtual Rokhlin property. We also establish the analogous result for mapping class groups of 2-manifolds.

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